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10059520 = 28529271
BaseRepresentation
bin100110010111…
…111100000000
3200221002001211
4212113330000
510033401040
6555335504
7151335022
oct46277400
920832054
1010059520
115750959
123451594
1321129a3
14149c012
15d3a8ea
hex997f00

10059520 has 72 divisors (see below), whose sum is σ = 25018560. Its totient is φ = 3870720.

The previous prime is 10059509. The next prime is 10059521. The reversal of 10059520 is 2595001.

It is a junction number, because it is equal to n+sod(n) for n = 10059491 and 10059500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36985 + ... + 37255.

It is an arithmetic number, because the mean of its divisors is an integer number (347480).

Almost surely, 210059520 is an apocalyptic number.

10059520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509280).

10059520 is an abundant number, since it is smaller than the sum of its proper divisors (14959040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10059520 is an equidigital number, since it uses as much as digits as its factorization.

10059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 10059520 is about 3171.6746365288. The cubic root of 10059520 is about 215.8700635982.

The spelling of 10059520 in words is "ten million, fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 271 290 320 464 542 580 640 928 1084 1160 1280 1355 1856 2168 2320 2710 3712 4336 4640 5420 7424 7859 8672 9280 10840 15718 17344 18560 21680 31436 34688 37120 39295 43360 62872 69376 78590 86720 125744 157180 173440 251488 314360 346880 502976 628720 1005952 1257440 2011904 2514880 5029760 10059520